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Statics and dynamics of a single ferrofluid-peak |
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| Authors: | R. Friedrichs A. Engel |
| Affiliation: | Instituto de Física, Universidade Estadual de Campinas, Cx. P. 6165, 13083-970, S ao Paulo, Brazil, BR Instituto de Física, Universidade Federal do Rio de Janeiro, Cx. P. 68.528, 21945-970, Rio de Janeiro, Brazil, BR Departamento de Física, Pontifícia Universidade Católica do Rio de Janeiro, Cx. P. 38071, 22452-970, Rio de Janeiro, Brazil, BR |
| Abstract: | We consider a single peak of a ferrofluid resulting from the Rosensweig instability for a small fluid container. Minimizing the total energy of the system by a variational method we determine the shape of the peak in a static field as well as the characteristics of the subcritical bifurcation leading to its formation. The latter are in very good agreement with experiment. Generalizing the approach to dynamic situations we qualitatively reproduce the complicated subharmonic response of the peak to an oscillating part in the external magnetic field found in recent experiments. Received 14 December 1999 and Received in final form 31 May 2000 |
| Keywords: | PACS. 47.20.Ky Nonlinearity (including bifurcation theory) - 47.20.Ma Interfacial instability - 75.50.Mm Magnetic liquids |
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